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Finding the Third Proportional to 90,604 and 189,464

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Solution

The third proportional to 90,604 and 189,464 is: 396,192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,604 : 189,464 = 189,464 : x
  2. Step 2: Convert to fraction form
    90,604/189,464 = 189,464/x
  3. Step 3: Cross multiply
    90,604x = 189,464 × 189,464
  4. Step 4: Simplify right side
    90,604x = 35,896,607,296
  5. Step 5: Solve for x
    x = 35,896,607,296/90,604
  6. Step 6: Final answer
    x = 396,192.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.